Question

There is a bag filled with 6 blue and 5 red marbles.

Answer 1

Answer:

0.5041 = 50.41% probability of getting 2 of the same colour

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability of getting 2 of the same colour?

Both blue or both red

Since they are replaced, we have, in each trial:

6 blue from a set of 6 + 5 = 11

5 red from a set of 6 + 5 = 11

Probability of both blue:

Each with 6/11 probability. So

$P = (\frac{6}{11})^2 = \frac{36}{121}$

Probability of both red:

Each with 5/11 probability. So

$P = (\frac{5}{11})^2 = \frac{25}{121}$

Total:

$p = \frac{36}{121} + \frac{25}{121} = \frac{61}{121} = 0.5041$

0.5041 = 50.41% probability of getting 2 of the same colour